Thanks for the replies. The thing is, I can't believe it's a connection. Since once it's starts up, I can swivel & move the Screen anywhere & it won't turn off. I even tried moving the Base & it stays on looking perfect. This will run for days. It's ONLY at startup. Once I get the Screen to come on, the Screen stays on & never shuts off. Even when it goes into Sleep Mode. A wiggle of the Mouse, takes it out of Sleep Mode & the screen again looks perfect. Btw, It's the Lampshade Model. I guess you could leave it on all the time, but that's not ideal & certainly not a fix. It worked before this perfectly. The last month it's been doing this. I also tried clicking on "Detect Displays" in Sys Pref Display._________________iMac 27" 3.06 8GB ATI 4670 1TB HD
Mac Mini 1.83 Intel Core 2 Duo 4GB 80 GB
Macbook Pro 2.4 GHz i5 8 GB Ram 500 GB HD
Power Mac G5 1.8 GHz
Apple TV 3rd Gen
Time Capsule 1st Gen 2TB

there is another thing you can check though and it's really easy plug a monitor adapter into the lampie and try to start it up the the monitor connected to it goes to a gray screen its the lcd board if the screen stays black your graphics card might be failing

If the graphics card is failing you will get no response from the machine at all and once it displays on the screen try a reset from the apple menu if the machine comes back on and loads with the gray apple screen cool it's not the graphics card at all if it doesnt after the reset it is most likely the graphics card weird the mini g4 has the same failure i wonder if this is normal for the old machine